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Finding the Third Proportional to 31,124 and 39,984

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Solution

The third proportional to 31,124 and 39,984 is: 51,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124 : 39,984 = 39,984 : x
  2. Step 2: Convert to fraction form
    31,124/39,984 = 39,984/x
  3. Step 3: Cross multiply
    31,124x = 39,984 × 39,984
  4. Step 4: Simplify right side
    31,124x = 1,598,720,256
  5. Step 5: Solve for x
    x = 1,598,720,256/31,124
  6. Step 6: Final answer
    x = 51,366.16

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.